Multilevel interpolation for Nikishin systems and boundedness of Jacobi matrices on binary trees

DOI10.1070/RM10017OpenAlexW3209064638MaRDI QIDQ5069056

V. G. Lysov, Alexander I. Aptekarev

Publication date: 8 April 2022

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm10017

zbMATH Keywords

boundednessrecurrence relationsinterpolation problemNikishin systemrecurrence coefficientsperfect systemJacobi matrix on a binary treemultilevel Hermite-Padé approximants

Mathematics Subject Classification ID

Padé approximation (41A21) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Numerical aspects of recurrence relations (65Q30)

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Weak and strong asymptotics of orthogonal polynomials with varying weight ⋮ Some algebraic properties of Hermite-Padé polynomials

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